(b) The quantity, drag co-efficient ca is given by the equation 2Fa Ca pv²A where p is the fluid density, v is velocity, A is the reference area and Fa is the measured drag force. Show that its value is dimensionless and explain the significance of why this is a useful property.

(b) The quantity, drag co-efficient ca is given by the equation 2Fa Ca pv²A where p is the fluid density, v is velocity, A is the reference area and Fa is the measured drag force. Show that its value is dimensionless and explain the significance of why this is a useful property.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 93P: A spherical particle falling at a terminal speed in a liquid must have the gravitational force...

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Question

(b)
The quantity, drag co-efficient ca is given by the equation
2Fa
Ca
pv²A
where p is the fluid density, v is velocity, A is the reference area and Fa is the
measured drag force. Show that its value is dimensionless and explain the
significance of why this is a useful property.

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